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    Wyświetlanie 1-4 z 4
    Tytuł:
    Differential Transform Method for the Kinetic Analysis of Thermal Inactivation of Enzyme as Applied in Biotechnology
    Autorzy:
    Adeleye, O. A.
    Sobamowo, M. G.
    Akinnukawe, B. I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031487.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Analytical solution
    Differential transformation method
    Enzyme
    Kinetic analysis
    Thermal inactivation
    Opis:
    In this work, approximate analytical solution is developed using differential transformation method for finding the molar concentration of the native and denatured enzyme in terms of second-order rate constant. Also, the obtained solutions are used to study the kinetics of thermal inactivation of enzyme as applied in biotechnology. The analytical solution was validated with numerical solution using fourth- order Runge-Kutta. Good agreement was established between the numerical and approximated analytical solutions.
    Źródło:
    World Scientific News; 2020, 142; 135-149
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Efficiency of Differential Transformation Method to the Solutions of Large Amplitude Nonlinear Oscillation Systems
    Autorzy:
    Sobamowo, M. G.
    Yinusa, A. A.
    Adeleye, O. A.
    Alozie, S. I.
    Salawu, S. A.
    Salami, M. O.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031949.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Analytical solution
    Differential transformation method
    Large amplitude
    Oscillation system
    Strong nonlinearity
    Opis:
    In this work, the efficiency of differential transformation method to the solutions of large amplitude nonlinear oscillatory systems is further established. Two cases of oscillation systems, nonlinear plane pendulum and pendulum in a rotating plane are considered. Without any linearization, discretization or series expansion of the sine and cosine of the angular displacement in the nonlinear models of the systems, the differential transformation method with Padé approximant is used to provide analytical solutions to the nonlinear problems. Also, the increased predictive power and the high level of accuracy of the differential transformation method over the previous methods are presented. The extreme accuracy and validity of the analytical solutions obtained by the differential transformation method are shown through comparison of the results of the solution with the corresponding numerical solutions obtained by fourth-fifth-order Runge-Kutta method. Also, with the aid of the analytical solutions, parametric studies were carried to study the impacts of the model parameters on the dynamic behavior of the large-amplitude nonlinear oscillation system. The method avoids any numerical complexity and it is very simple, suitable and useful as a mathematical tool for dealing the nonlinear problems.
    Źródło:
    World Scientific News; 2020, 139, 1; 1-60
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Semi-analytical treatment of complex nonlinear oscillations arising in the slider-crank mechanism
    Autorzy:
    Big-Alabo, Akuro
    Ogbodo, Collins Onyinyechukwu
    Ossia, Chinwuba Victor
    Powiązania:
    https://bibliotekanauki.pl/articles/1031444.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Slider-crank mechanism
    conservative system
    continuous piecewise linearization method
    non-natural system
    nonlinear oscillation
    periodic solution
    Opis:
    The model for the free nonlinear oscillation of the slider-crank mechanism is very complicated and difficult to solve accurately using most of the existing approximate analytical schemes. However, the continuous piecewise linearization method (CPLM), which is a recently proposed semi-analytical algorithm, is capable of producing simple and accurate periodic solutions for conservative systems irrespective of the complexity of the nonlinear restoring force. Hence, this study applied the CPLM to solve and analyze the complex nonlinear oscillations arising in the slider-crank mechanism. The CPLM results were verified using numerical solutions and it was found that the CPLM solution was accurate to less than 1.0% for angular amplitudes up to 165°. Analysis of the frequency-amplitude response revealed the existence of asymptotic behaviour as the ratio of the crank radius to the connecting rod length approaches zero or unity. Hence, oscillation models for the observed asymptotic responses were derived and found to be significantly simpler compared to the original oscillation model. Finally, analysis of the large-amplitude oscillations of the slider-crank mechanism revealed the presence of strong anharmonic response.
    Źródło:
    World Scientific News; 2020, 142; 1-24
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence and Uniqueness of Time Periodic Solution to the Viscous Modified Degasperis-Procesi Equation
    Autorzy:
    Asaduzzaman, Md.
    Ali, Md. Zulfikar
    Powiązania:
    https://bibliotekanauki.pl/articles/1031446.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Galerkin’s method
    Leray-Schauder fixed point theorem
    time periodic solution
    viscous modified Degasperis-Procesi equation
    Opis:
    In this paper, we establish the existence and uniqueness criteria of time periodic solution to the viscous modified Degasperis-Procesi (vmDP for short) equation with periodic boundary value conditions. The analysis of this study is based on Galerkin’s method and Leray-Schauder fixed point theorem. Using Galerkin’s method some uniform priori estimates of approximate solution to the corresponding equation of vmDP has been constructed. Furthermore, the efficient and straightforward existence and uniqueness criteria of time periodic solution to the vmDP with periodic boundary value conditions has been obtained.
    Źródło:
    World Scientific News; 2020, 142; 25-43
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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